[Discover][Alerting] Prevent search suggestions and rule flyout from being open simultaneously

[ryankeairns]

Should we prompt to close/save the flyout when they click back in the main KQL bar
Otherwise, you see this overlapping of elements:

@ryankeairns
I think what we could do is, using the flyout to own focus and getting closed when clicked outside

However, AFAIK we don't have currently access to the way it's being rendered, so it would need to be solved in a separate PR ... or being a feature request for our alerting efforts

Originally posted by @kertal in #130462 (comment)

[elasticmachine]

Pinging @elastic/kibana-data-discovery (Team:DataDiscovery)

[kertal]

A quick research, the flyout showing the rule to add would need to have ownFocus set to true

kibana/x-pack/plugins/triggers_actions_ui/public/application/sections/rule_form/rule_add.tsx

Lines 230 to 236 in 0b1425b

	<EuiFlyout
	onClose={checkForChangesAndCloseFlyout}
	aria-labelledby="flyoutRuleAddTitle"
	size="m"
	maxWidth={620}
	ownFocus={false}
	>

However, I think this would need to be configurable, since there might be rules that prefer the "old" behavior

[kertal]

WDYT dear @elastic/response-ops, owners of this part of the code